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How can a number have an odd number of factors?
If a number is a perfect square, then you might say that one of its factors is a factor twice, so the list of factors has an odd number of entries. Example: 16. Factors of 16: 1, 2, 4, 8, 16. One of the "factor pairs" of 16 is [ 4 x 4 ], but '4' only shows up once on the list.
Why does a square number always have an odd number of factors?
Factors can be listed as factor pairs. With square numbers, one of those pairs will be the same number twice. When written as a list, only one of them will be used, leaving an odd number of factors.
How would a list of factors pairs relate to the rectangles that could be made to show the number?
As I understand it, the number of factor pairs is equal to the number of rectangles.
How do you work out the G C F of 60 44 16?
44 = 4 x 1160 = 4 x 1516 = 4 x 4The GCF of 16, 44 and 60 is 4.======================================Answer #2: (responding to the "how" part of the question)-- List all the factors of 60.-- List al the factors of 44.-- List all the factors of 16.-- Make a short list, consisting of any numbers that appear on ALL of the first 3 lists.The short list is the list of 'common factors' of 60, 44, and 16. (There are 3 of them.)-- Find the greatest number on the short list of common factors. That number is thegreatest common factor.
What are the pairs of factors for 80?
(1, 80); (2, 40); (4, 20); (5, 16); (8, 10).
